At a recent dog show, there were 5 finalists. one of the finalists was awarded "best in show" and another finalist was awarded "honorable mention." in how many different ways could the two awards be given out

5

Step-by-step explanation:

5 finalists

4 Honorable mention and 1 best in show

It's a combination, because it's not ordered. For example, a group with

Dogs A, B and C for Honorable mention is the same thing as Dog B, C and A.

So, C₅,₁*C₄,₄ = 5*1= 5

C₅,₁ = 5!/4!1! = 5

C₄,₄ = 4!/4!0! = 1

So, the awards can be given out in 5 different ways.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

is this part of a question or something